2019
Том 71
№ 11

# Quadruples of orthoprojectors connected by a linear relationship

Yusenko A. A.

Abstract

In the explicit form, we deduce formulas for all quadruples of orthoprojectors $P_1, P_2, P_3$, and $P_4$ irreducible to within unitary equivalence and connected by the linear relationship $α_1 P_1 + α_2 P_2 + α_3 P_3 + α_4 P_4 = λ I$, where $(α_1, α_2, α_3, α_4) ∈ ℝ^{+}$.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 2, pp 289-301.

Citation Example: Yusenko A. A. Quadruples of orthoprojectors connected by a linear relationship // Ukr. Mat. Zh. - 2010. - 62, № 2. - pp. 255–264.

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